The effect of anti-viral drug treatment of human immunodeficiency virus type 1 (HIV-1) described by a fractional order model

Arafa A.A.M.Rida S.Z.Khalil M.Department of MathematicsFaculty of ScienceSouth Valley UniversityQenaEgypt; Department of MathematicsFaculty of EngineeringModern Science and Arts University (MSA)GizaEgypt2020-01-092020-01-0920130307904Xhttps://doi.org/10.1016/j.apm.2012.05.002PubMed ID :https://cutt.ly/VrRnDMIScopusIn this paper, generalized Euler method (GEM) and homotopy analysis method (HAM) are performed to solve the problem of the population dynamics of the human immunodeficiency type 1 virus (HIV-1). We introduce fractional orders to the model of HIV-1 whose components are plasma densities of uninfected CD4+ T-cells, the infected such cells and the free virus. The effect of the drug treatment of HIV-1 will be discussed in this paper. � 2012 Elsevier Inc.EnglishCaputo fractional derivativeGeneralized Euler methodHIV modelHomotopy analysis methodNumerical solutionCaputo fractional derivativesEuler methodHIV modelsHomotopy analysis methodsNumerical solutionDifferentiation (calculus)Drug therapyPlasma densityVirusesDiseasesThe effect of anti-viral drug treatment of human immunodeficiency virus type 1 (HIV-1) described by a fractional order modelArticlehttps://doi.org/10.1016/j.apm.2012.05.002PubMed ID :